Finding the Third Proportional to 89,687.25 and 185,206.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,687.25 : 185,206.50 = 185,206.50 : x
2. Step 2: Convert to fraction form
   89,687.25/185,206.50 = 185,206.50/x
3. Step 3: Cross multiply
   89,687.25x = 185,206.50 × 185,206.50
4. Step 4: Simplify right side
   89,687.25x = 34,301,447,642.25
5. Step 5: Solve for x
   x = 34,301,447,642.25/89,687.25
6. Step 6: Final answer
   x = 382,456.23